Pyrometric cones of different composition are supplied to the ceramic industry to use in measuring temperatures in kilns. Different cones are designed to melt at specific temperatures. Suppose a random sample of 40 No. 17 cones had melting temperatures with a mean of 1875 degrees and a standard deviation of 54 degrees. a) Find a 95% CI for the mean melting temperature of the No. 17 cones.
b) Find the 99% confidence interval for the mean melting temperature of the No. 17 cones.
c) Which confidence interval is wider? Based on the definition of a confidence interval, can you explain why it is wider?